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Finding the Fourth Proportional to 32,781.51, 49,176.63 and 10,589.49

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Solution

The fourth proportional to 32,781.51, 49,176.63 and 10,589.49 is: 15,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781.51 : 49,176.63 = 10,589.49 : x
  2. Step 2: Convert to fraction form
    32,781.51/49,176.63 = 10,589.49/x
  3. Step 3: Cross multiply
    32,781.51x = 49,176.63 × 10,589.49
  4. Step 4: Simplify right side
    32,781.51x = 520,755,431.62
  5. Step 5: Solve for x
    x = 520,755,431.62/32,781.51
  6. Step 6: Final answer
    x = 15,885.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.